Tagged Questions

The study of computer algorithms which admit geometric descriptions, and geometric problems arising in association with such algorithms. The two major classes of problems are (a) efficient design of algorithms and data classes using geometric concepts and (b) representation and modelling of curves ...

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Fastest computation to find out if two vectors intersect (programming problem)

I'm trying to write a program that should solve a 12x12 rush hour problem: I won't go in the details of this program to much. The program already works for 6x6 puzzles, but for 12x12 puzzles, it is ...
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Rigid circles inside a square

There are $n$ circles each of radius $r$. They are needed to fit into a square with side length $t$ in a way such that, the circles can't move in any direction (each one is adjacent to some other ones ...
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How to measure the irregularity of a hexagon?

I need to evaluate the quality of a list of machine parts, which roughly has one center point surrounded by 6 exterior points. If the quality is good, then the 6 exterior points will form a regular ...
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Center of mass from shape boundary

It is possible to find a shape center of mass by only its boundary? Would the average coordinates of X and Y would approximate my center of mass? (If it would work how good the approximation is going ...
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What line-polygon clipping algorithm can I use to ensure that the resultant endpoints are always within the polygon?

I have a 2D plane, partitioned into n-sided, convex polygons. I'm using WRF's PNPOLY algorithm for polygon inclusion to ensure that a point belongs inside one and only one polygon. Is there an ...
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Constructing triangulations algorithmically

I am developing a Python package for computations in algebraic topology (namely: cohomology and Massey products on manifolds). Basically all the stuff I'm doing requires an explicit triangulation of ...
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Fencing $n$ points while keeping minimum distance $d$ from each point

Consider this problem **I have a land consisting of $n$ trees. Since the trees are favorites to cows, I have a big problem saving them. So, I have planned to make a fence around the trees. I want ...
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Calculate the area of an irregular cyclic convex polygon

I want to write a program in C++ to calculate the area of irregular cyclic convex polygons. However, the inputs are in the form corner point angles. I am just not sure what the inputs mean and what ...
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Epipolar geometry - Fundamental matrix derivation (Hartley, Zisserman)

I have a question to the following derivation of the fundamental matrix by Hartley and Zisserman in "Multiple View Geometry in computer vision" (Link, page 5): Why is it possible to do the very ...
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Box-Counting Dimension with finite resolution

Does the method of determining dimension of a shape via the Box-Counting dimension (Minkowskiâ€“Bouligand dimension) have to be performed on fractals (objects that look the same at all scales), or can ...
There is a convex polyhedron $P \subset \mathbb{R}^{3}$ and there are its planar sections $S_{1}, \ldots, S_{n}$ througth planes $\pi_{1}, \ldots, \pi_{n}$, $S_{i} \subset \pi_{i}$. All these $S_{i}$ ...
how would you calculate this? A circular cylinder, height $14$, base radius $2$, has the axis of rotation! What is the equation of the cylinder jacket when the center of the base circle is the ...